no. 4
Partial differential equations/Probability theory
A Schauder estimate for stochastic PDEs
[Une estimée de Schauder pour des EDPs stochastiques]
Présenté par : the Editorial Board
Du, Kai1 ; Liu, Jiakun1
1 Institute for Mathematics and its Applications, School of Mathematics and Applied Statistics, University of Wollongong, Wollongong, NSW 2522, Australia
Comptes Rendus. Mathématique, Tome 354 (2016) no. 4, pp. 371-375

Considering stochastic partial differential equations of parabolic type with random coefficients in vector-valued Hölder spaces, we establish a sharp Schauder theory. The existence and uniqueness of solutions to the Cauchy problem is obtained.

Nous considérons des équations aux dérivées partielles stochastiques, du type parabolique et à coefficients aléatoires dans des espaces de Hölder à valeurs vectorielles. Nous obtenons une estimée de Schauder optimale, puis nous utilisons cette estimée pour prouver l'existence et l'unicité de la solution du problème de Cauchy.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2016.01.010

Du, Kai 1 ; Liu, Jiakun 1

1 Institute for Mathematics and its Applications, School of Mathematics and Applied Statistics, University of Wollongong, Wollongong, NSW 2522, Australia 
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Du, Kai; Liu, Jiakun. A Schauder estimate for stochastic PDEs. Comptes Rendus. Mathématique, Tome 354 (2016) no. 4, pp. 371-375. doi: 10.1016/j.crma.2016.01.010

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